Angular velocity and moment of inertia

The device shown in the picture is a simplified trebuchet. Two masses, m1 = 0.120 kg and m2 = 60.0 kg are connected by a rod and free to rotate about a frictionless axle 14.0 cm from the larger mass. The person releases the system from rest in the position shown. We want to find the speed of the smaller mass once the system rotates through 90 degrees.

a. Treat both masses as point particles and calculate the moment of inertia of the system assuming that the rod has negligible mass.

b. After the system rotates through 90 degrees find the angular velocity of the system and the linear velocity of the system and the linear velocity of the smaller mass.

c. Repeat parts a and b if the rod connected to the masses can be modeled as a rigid rod with mass M = 1.00 kg.

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